Question

p and q are 2 numbers such that p>q. When you subtract 15 from p and subtract 15 from q the answers are in the ratio 2:1. When you add 30 to p and 30 to q the answers are in the ratio 5:4. Find the ratio of p:q.

Answer 1

Answer:

p=45 & q= 30

Step-by-step explanation:

(p-15) : (q-15)= 2:1

p-15= 2q-30

p= 2q-15 --1

(p+30) : (q+30)= 5:4

4p+120=5q+150

4p-5q=30 --2

substituting 1 in 2

8q-60-5q=30

3q =90

q=30

p=(2*30)-15

p= 45